Information on Result #1321014

Linear OA(2133, 201, F2, 40) (dual of [201, 68, 41]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(2128, 195, F2, 40) (dual of [195, 67, 41]-code), using
  2. linear OA(2128, 196, F2, 35) (dual of [196, 68, 36]-code), using Gilbert–VarÅ¡amov bound and bm = 2128 > Vbs−1(k−1) = 146 023182 955137 677187 532309 795096 061846 [i]
  3. linear OA(24, 5, F2, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,2)), using

Mode: Linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2134, 202, F2, 41) (dual of [202, 68, 42]-code) [i]Adding a Parity Check Bit